Definition:
One-Sided Limits of a Function
If f is a function with domain D and
c
closure(D).
Then:
- f has a left-hand limit L at c
if for every
> 0 there exists
> 0 such that if
x
D
and
c -
< x < c
then
| f(x) - L | <
.
We write
f(x) = L.
- f has a right-hand limit L at c
if for every
> 0 there exists
> 0 such that if
x
D
and
c < x < c +
then
| f(x) - L | <
.
We write
f(x) = L
To Theory |
Glossary |
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(bgw)